On generalizations of integral inequalities

Autores
Bayraktar, Bahtiyar; Nápoles Valdés, Juan Eduardo; Rabossi, Florencia
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.
Fil: Rabossi, Florencia. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.
In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities.
Fuente
Problemy Analiza Issues of Analysis, 2022, vol. 11(29). No. 2, p. 3-23.
Materia
Convex function
Hermite–Hadamard inequality
Simpson-type inequality
Lipschitz conditions
Lagrange theorem
Riemann–Liouville fractional integral
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Institución
Universidad Nacional del Nordeste
OAI Identificador
oai:repositorio.unne.edu.ar:123456789/60046
Acceder
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oai_identifier_str oai:repositorio.unne.edu.ar:123456789/60046
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling On generalizations of integral inequalitiesBayraktar, BahtiyarNápoles Valdés, Juan EduardoRabossi, FlorenciaConvex functionHermite–Hadamard inequalitySimpson-type inequalityLipschitz conditionsLagrange theoremRiemann–Liouville fractional integralFil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.Fil: Rabossi, Florencia. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities.Universidad Estatal de Petrozavodsk2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 3-23application/pdfBayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo y Rabossi, Florencia, 2022. On generalizations of integral inequalities. Problemy Analiza Issues of Analysis. Petrozavodsk: Universidad Estatal de Petrozavodsk, vol. 11(29), no. 2, p. 3-23. E-ISSN 2306-3424.http://repositorio.unne.edu.ar/handle/123456789/60046Problemy Analiza Issues of Analysis, 2022, vol. 11(29). No. 2, p. 3-23.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttps://doi.org/10.15393/j3.art.2022.11190https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11190&lang=eninfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2026-02-26T14:06:46Zoai:repositorio.unne.edu.ar:123456789/60046instacron:UNNEInstitucionalhttp://repositorio.unne.edu.ar/Universidad públicaNo correspondehttp://repositorio.unne.edu.ar/oaiososa@bib.unne.edu.ar;sergio.alegria@unne.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:48712026-02-26 14:06:46.479Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv On generalizations of integral inequalities
title On generalizations of integral inequalities
spellingShingle On generalizations of integral inequalities
Bayraktar, Bahtiyar
Convex function
Hermite–Hadamard inequality
Simpson-type inequality
Lipschitz conditions
Lagrange theorem
Riemann–Liouville fractional integral
title_short On generalizations of integral inequalities
title_full On generalizations of integral inequalities
title_fullStr On generalizations of integral inequalities
title_full_unstemmed On generalizations of integral inequalities
title_sort On generalizations of integral inequalities
dc.creator.none.fl_str_mv Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
author Bayraktar, Bahtiyar
author_facet Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
author_role author
author2 Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
author2_role author
author
dc.subject.none.fl_str_mv Convex function
Hermite–Hadamard inequality
Simpson-type inequality
Lipschitz conditions
Lagrange theorem
Riemann–Liouville fractional integral
topic Convex function
Hermite–Hadamard inequality
Simpson-type inequality
Lipschitz conditions
Lagrange theorem
Riemann–Liouville fractional integral
dc.description.none.fl_txt_mv Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.
Fil: Rabossi, Florencia. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.
In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities.
description Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo y Rabossi, Florencia, 2022. On generalizations of integral inequalities. Problemy Analiza Issues of Analysis. Petrozavodsk: Universidad Estatal de Petrozavodsk, vol. 11(29), no. 2, p. 3-23. E-ISSN 2306-3424.
http://repositorio.unne.edu.ar/handle/123456789/60046
identifier_str_mv Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo y Rabossi, Florencia, 2022. On generalizations of integral inequalities. Problemy Analiza Issues of Analysis. Petrozavodsk: Universidad Estatal de Petrozavodsk, vol. 11(29), no. 2, p. 3-23. E-ISSN 2306-3424.
url http://repositorio.unne.edu.ar/handle/123456789/60046
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.15393/j3.art.2022.11190
https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11190&lang=en
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
dc.format.none.fl_str_mv application/pdf
p. 3-23
application/pdf
dc.publisher.none.fl_str_mv Universidad Estatal de Petrozavodsk
publisher.none.fl_str_mv Universidad Estatal de Petrozavodsk
dc.source.none.fl_str_mv Problemy Analiza Issues of Analysis, 2022, vol. 11(29). No. 2, p. 3-23.
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname:Universidad Nacional del Nordeste
reponame_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
collection Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname_str Universidad Nacional del Nordeste
repository.name.fl_str_mv Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordeste
repository.mail.fl_str_mv ososa@bib.unne.edu.ar;sergio.alegria@unne.edu.ar
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score 13.176822

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